Part 1

Suppose a multiple-choice exam consists of 40 questionsr and each question has choices #1, B, C, and D. [3) A student blindly guesses on each question. Find the probability of correctly answering an individual question correctly. b {b} What is the expected number of questions a student will guess correctly on this exam? : Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.) X P(x) X*P(x) ( x - H) 2p(x) 2 10.1 2(0.1) = 0.2 (2 - 5.4)2(0.1) = 1.156 0.3 4(0.3) = 1.2 (4 - 5.4)2(0.3) = 0.588 6 0.4 6(0.4) = 2.4 (6 - 5.4)2(0.4) = 0.144 8 0.2 8(0.2) = 1.6 (8 - 5.4) (0.2) = 1.352A new prescription medicine aimed at lowering the number of days with the flu is being tested. The test group consists of 28 subjects, and five of the subjects were randomly chosen to see how they were affected. John is one of the 28 subjects. What is the probability that John is randomly chosen to see how he was affected by the medicine? (Enter your probability as a fraction.)